Transcript Complete the rectangle diagram so that it is a square.

March 22
Ms. Wu says … hm, Ms. Wu is reticent today.
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Get out HW 4.1.
Start on the warm up in pen. Keep it on your desk.
Grade HW 4.1 (key on table).
Grade Spring Break EOC Packet.
• ANNOUNCEMENT: Late work will not be accepted after 2
weeks (this is an 8C cluster policy).
– Tutorials will be this Thursday, 3/22
Find the roots of the equation
0 = x2 + 8x – 5.
– Conclusion: Factoring alone is not sufficient for
solving all quadratic equations.
– Over next couple of weeks, we will derive a new
method to solve all types of quadratic equations
Completing the Square
• Step 1: Complete the rectangle diagram so that it is a square.
How do you know which number to place in the lower-right
corner?
• A)
Completing the Square
• Complete the rectangle diagram so that it is a square. How do
you know which number to place in the lower-right corner?
• B)
Completing the Square
• Complete the rectangle diagram so that it is a square. How do
you know which number to place in the lower-right corner?
• C)
Step 2: For each diagram A – C, write an
equation in the form
x2 + bx + c = (x + b/2)2
• On which side of the equation can you isolate
x by undoing order of operations?
Step 3: Suppose the area for diagrams A and B is 100
square units. For each square, write an equation that
you can solve for x by undoing order of operations.
Step 4: Solve each equation. You
will get two values for x.
Try to find the solutions to x2 + 8x – 5 = 0.
What if the leading coefficient, Avalue, isn’t 1?
• 3x2 + 18x – 8 = 22